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3 years ago

20 POINTS, please help!!Factor the algebraic expression below in terms of a single trigonometric function.

1 answer:

6 0

Csc²x - 1

1/sin²x - 1

1/sin²x - sin²x / sin²x

(1 - sin²x) / sin²x

Recall that sin²x + cos²x = 1

So cos²x = 1 - sin²x

So we can replace numerator to cos²x

cos²x / sin²x

= cot²x

Final answer: cot²x

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2. Ken combined a triangle and a trapezoid to

jarptica [38.1K]

Answer:

Step-by-step explanation:

area of a triangle = 12 in²

area of a trapezoid = 24 in²

just combine the two shape (see image)

then add the area.

total area = 12 + 24

= 36 in²

8 0

3 years ago

Mr. Martin's math test, which is worth 100 points, has 35

AlekseyPX

Number of questions worth 5 points = 10

Number of questions worth 2 points = 25

Further explanation:

The given system is a system of linear equations in two variables.

We will use the subsitution method to solve the system

Given equations are:

$x+y=35\\5x+2y=100$

From equation no 1:

$x+y=35\\x=35-y$

Putting x=35-y in second equation

$5x+2y=100\\5(35-y)+2y=100\\175-5y+2y=100\\-3y=100-175\\-3y=-75\\\frac{-3y}{-3}=\frac{-75}{-3}\\y=25\\Putting y=25 in first equation\\x+25=35\\x= 35-25\\x=10$

Hence,

Number of questions worth 5 points = 10

Number of questions worth 2 points = 25

Keywords: Linear Equations, Substitution method

Learn more about substitution method at:

#LearnwithBrainly

3 0

3 years ago

Read 2 more answers

Suppose three marksmen shoot at a target. The ith marksman fires ni times, hitting the target each time with probability Pi, ind

astraxan [27]

Answer:

Distribution is NOT binomial.

Step-by-step explanation:

In order to be a binomial distribution, the probability of success for each individual trial must be the same. Since each marksman hits the target with probability Pi, the probability of success (hitting the target) is not necessarily equal for all trials. Therefore, the distribution is not binomial.

In this case, the distribution would only be binomial if Pi was the same for every "ith" marksman.

6 0

3 years ago

Apply the distributive property and the greatest common factor to write an equivalent expression.

amid [387]

Here, Your Original expression is 60x - 24.

Take 12 as common, which is GCD of 24 & 60,

Therefore, It would be:

60x - 24
= 12 * 5x - 12 * 2
= 12 (5x - 2)

In short, your Answer would be 12(5x - 2)

Hope this helps!

Photon

5 0

3 years ago

Find the slope of the line that goes through the given points.<br> (0,8) and (- 4,0)

Ronch [10]

Answer:

slope = 2

Step-by-step explanation:

Calculate the slope m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (0, 8) and (x₂, y₂ ) = (- 4, 0)

m = $\frac{0-8}{-4-0}$ = $\frac{-8}{-4}$ = 2